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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 457776.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
457776.o1 | 457776o1 | \([0, 0, 0, -1224, 16524]\) | \(-3760128/11\) | \(-593277696\) | \([]\) | \(193536\) | \(0.55397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 457776.o1 has rank \(2\).
Complex multiplication
The elliptic curves in class 457776.o do not have complex multiplication.Modular form 457776.2.a.o
sage: E.q_eigenform(10)